# statistics

For a normal distribution, identify the z-score location that would separate the distribution into sections so that there is:

a)60% in the body on the right-hand side
b)90% in the body on the left-hand side

1. 👍
2. 👎
3. 👁
1. 60% is to the right of z = -0.25
90% is to the left of z = +1.28

"z" is (x-x(mean))/{standard deviation)

You need a table of the error function or normal distribution to do this kind of problem.

1. 👍
2. 👎

## Similar Questions

1. ### stat

Which of the following statements is true about the t-distribution with k degrees of freedom? i. the t-distribution is symmetric ii. the t-distribution with k degrees of freedom has a smaller variance than the t-distribution with

2. ### statistics

Which of the following statements are correct? a. A normal distribution is any distribution that is not unusual. b. The graph of a normal distribution is bell-shaped. c. If a population has normal ditribution, the mean and the

3. ### Statistics

2. For a distribution of scores, which of the following Z score values represents the location closest to the mean?

4. ### Statistics

The score distribution of the final exam in a data science course follows a normal distribution with mean 70 and standard deviation 10. Let α in (0,1) . As a reminder, the quantile of order 1−α of a random variable X is the

1. ### Statistics

a normal distribution ha am ean of 80 with a standard deviation of 20. what score separates the highest 15% of the distribution from the rest of the score?

2. ### math

Find the z-score for the given raw score, mean, and standard deviation. Assume a normal probability distribution score = 15, ì = 16 , and ó = 2 Could you show me how to do this. My instructor has tried but I just don't

3. ### Statistics

Consider the standard normal distribution. Find the area for the z-score -0.75. Draw a picture of this distribution showing the location of the z-score and the mean. Shade the region corresponding to the area found for the

4. ### statistics

Find the Z-score that separate the middle 63% of the distribution from the area in the tails of the standard normal distribution

1. ### Statistics

Statistics Does the frequency distribution appear to have a normal distribution using a strict interpretation of the relevant criteria? IQ Score------Frequency 50-69----------24 79-89----------228 90-109--------490

2. ### Statistics 250

In a normal distribution, what z-score value separates the highest 90% of the scores from the rest of the distribution? a)z = -1.28 b)z = 1.28 c)z = -0.13 d)z = 0.13

3. ### Math (Statistic)

Considered the sampling distribution of a sample mean obtained by random sampling from an infinite population. This population has a distribution that is highly skewed toward the larger values. a) How is the mean of the sampling

4. ### psyc

A normal distribution has µ = 80 and standard deviation = 10. What is the probability of randomly selecting a score greater than 75 from this distribution?